Comparison of two calculation methods of the optimal switching instants of a hybrid dynamic system

Author

Cébron, Benoit ; Sechilariu, Manuela ; Burger, Jacques

Author_Institution

lab. d´´Ingenieres des Syst. Autom., Angers Univ., France

Volume

1

fYear

1999

fDate

1999

Firstpage

165

Abstract

Two calculation methods of the optimal switching instants of a hybrid dynamic system are presented. The control problem is set as a minimization problem of the deviation between the state and a desired state, at the final instant. The first method uses the Lagrangian technique to calculate the gradient of a cost function and implements the Fletcher-Reeves descent method (Minoux, 1983). The second method is based on interval analysis. The set inversion algorithm SIVIA (Jaulin and Burger, 1999) which is presented and implemented, ensures guaranteed results. Both methods are applied to an example then compared

Keywords

discrete event systems; minimisation; optimal control; Lagrangian technique; SIVIA; calculation methods; control problem; cost function; descent method; hybrid dynamic system; interval analysis; minimization problem; optimal switching instants; set inversion algorithm; Automatic control; Continuous time systems; Control systems; Cost function; Equations; Lagrangian functions; Neodymium; Optimal control; Switches;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on

Conference_Location

Tokyo

ISSN

1062-922X

Print_ISBN

0-7803-5731-0

Type

conf

DOI

10.1109/ICSMC.1999.814081

Filename

814081